Atkin-Lehner |
2- 3- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746bk |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-115529027328 = -1 · 28 · 38 · 11 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1001,10985] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:715:8] |
Generators of the group modulo torsion |
j |
110917182199823/115529027328 |
j-invariant |
L |
9.2890004669441 |
L(r)(E,1)/r! |
Ω |
0.69506792065009 |
Real period |
R |
1.670520281359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95238bo1 |
Quadratic twists by: -3 |